Least Common Multiple of 714/224, 598/783, 446/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 714/224, 598/783, 446/506 quickly i.e. 47607378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 714/224, 598/783, 446/506 is 47607378.

LCM(714/224, 598/783, 446/506) = 47607378

LCM of 714/224, 598/783, 446/506

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 714/224,598/783,446/506

Given numbers are 714/224,598/783,446/506

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 714,598,446

Least Common Multiple of Numerators i.e. LCM of 714,598,446 is 47607378.

GCF of Denominators means GCF of 224,783,506 as per the given fractions.

GCF of 224,783,506 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 714,598,446

LCM of Fractions 714/224,598/783,446/506 is 47607378

2 714, 598, 446
357, 299, 223

∴ So the LCM of the given numbers is 2 x 357 x 299 x 223 = 47607378

Least Common Multiple of 714,598,446 with GCF Formula

Least Common Multiple of 714,598,446 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 714,598,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,598,446) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(714,598,446) x common factors =2 x 2 = 4

LCM(714,598,446) = ( 714 × 598 × 446 ) / 4

LCM(714,598,446) = 190429512 / 4

LCM(714,598,446) = 47607378


Lets's calculate GCF of 224,783,506

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47607378/1

Therefore the LCM of Fractions 714/224,598/783,446/506 is 47607378

Greatest Common Factor of 224,783,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,783,506 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 224,783,506 . The biggest common factor number is the GCF number.
So the greatest common factor 224,783,506 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 714/224, 598/783, 446/506

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 714/224, 598/783, 446/506?

Answer: LCM of Numerators as per given numbers 714/224, 598/783, 446/506 is

LCM of Numerators i.e. for 714,598,446 is 47607378

GCF of denominators i.e. for 224,783,506 is 1.

Thus, LCM of Fractions is 47607378.Finally, LCM of Fractions for 714/224, 598/783, 446/506 is 47607378.